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Finding the Fourth Proportional to 953.62, 1,316.16 and 560.66

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Solution

The fourth proportional to 953.62, 1,316.16 and 560.66 is: 773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.62 : 1,316.16 = 560.66 : x
  2. Step 2: Convert to fraction form
    953.62/1,316.16 = 560.66/x
  3. Step 3: Cross multiply
    953.62x = 1,316.16 × 560.66
  4. Step 4: Simplify right side
    953.62x = 737,918.27
  5. Step 5: Solve for x
    x = 737,918.27/953.62
  6. Step 6: Final answer
    x = 773.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.